Dispersion relationships and the inverse problem of scattering by a slightly rough surface

Mathematics – Probability

Scientific paper

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Backscattering, Planetary Surfaces, Radar Scattering, Scattering Cross Sections, Surface Roughness Effects, Incident Radiation, Inhomogeneity, Integral Equations, Mathematical Models, Specular Reflection, Wave Dispersion

Scientific paper

The dependence of a radar scattering cross section at a statistically rough surface on incidence angle and radiation frequency is analyzed in the framework of the two-scale model with reference to radar studies of the surfaces of the earth and other planets. It is shown that these data can be used to determine the complex permittivity, the probability distribution density of roughness slope angles, and the spatial energy spectrum for slightly rough surfaces, i.e., surfaces for which the angular dependence of scattering cross section has a pronounced and sufficiently narrow maximum in the case of vertical irradiation. Frequency dependences of the scattering cross sections connected with the specular and diffusion component are related by universal equations which are independent of the specific statistical characteristics of the surface relief.

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